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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Cosmic Research</journal-id><journal-title-group><journal-title xml:lang="en">Cosmic Research</journal-title><trans-title-group xml:lang="ru"><trans-title>Космические исследования</trans-title></trans-title-group></journal-title-group><issn publication-format="print">0023-4206</issn><issn publication-format="electronic">3034-5502</issn><publisher><publisher-name xml:lang="en">The Russian Academy of Sciences</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">682923</article-id><article-id pub-id-type="doi">10.31857/S0023420625010038</article-id><article-id pub-id-type="edn">HETVZA</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>Articles</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">Vector graphs, phase trajectories and portraits of the magnetic field and velocities of solar plasma particles in the phase space of the heliosphere</article-title><trans-title-group xml:lang="ru"><trans-title>Векторные графы, фазовые траектории и портреты магнитного поля и скоростей частиц солнечной плазмы в фазовом пространстве гелиосферы</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Antonov</surname><given-names>Yu. A.</given-names></name><name xml:lang="ru"><surname>Антонов</surname><given-names>Ю. А.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>suhareva@phys.msu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Zakharov</surname><given-names>V. I.</given-names></name><name xml:lang="ru"><surname>Захаров</surname><given-names>В. И.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><email>suhareva@phys.msu.ru</email><xref ref-type="aff" rid="aff1"/><xref ref-type="aff" rid="aff2"/><xref ref-type="aff" rid="aff3"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Myagkova</surname><given-names>I. N.</given-names></name><name xml:lang="ru"><surname>Мягкова</surname><given-names>И. Н.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Skobeltsyn Institute of Nuclear Physics Lomonosov Moscow State University</p></bio><bio xml:lang="ru"><p>Научно-исследовательский институт ядерной физики имени Д.В. Скобельцына</p></bio><email>suhareva@phys.msu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Suhareva</surname><given-names>N. A.</given-names></name><name xml:lang="ru"><surname>Сухарева</surname><given-names>Н. А.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Skobeltsyn Institute of Nuclear Physics Lomonosov Moscow State University</p></bio><bio xml:lang="ru"><p>Научно-исследовательский институт ядерной физики имени Д.В. Скобельцына</p></bio><email>suhareva@phys.msu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><name-alternatives><name xml:lang="en"><surname>Shugai</surname><given-names>Yu. S.</given-names></name><name xml:lang="ru"><surname>Шугай</surname><given-names>Ю. С.</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Skobeltsyn Institute of Nuclear Physics Lomonosov Moscow State University</p></bio><bio xml:lang="ru"><p>Научно-исследовательский институт ядерной физики имени Д.В. Скобельцына</p></bio><email>suhareva@phys.msu.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Lomonosov Moscow State University</institution></aff><aff><institution xml:lang="ru">Московский государственный университет имени М.В. Ломоносова</institution></aff></aff-alternatives><aff-alternatives id="aff2"><aff><institution xml:lang="en">Institute of Atmospheric Physics named after A.M. Obukhov RAS</institution></aff><aff><institution xml:lang="ru">Институт физики атмосферы им. А.М. Обухова РАН</institution></aff></aff-alternatives><aff-alternatives id="aff3"><aff><institution xml:lang="en">Schmidt Institute of Physics of the Earth of the Russian Academy of Sciences</institution></aff><aff><institution xml:lang="ru">Институт физики земли им. О.Ю. Шмидта РАН</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-01-15" publication-format="electronic"><day>15</day><month>01</month><year>2025</year></pub-date><volume>63</volume><issue>1</issue><fpage>23</fpage><lpage>37</lpage><history><date date-type="received" iso-8601-date="2025-06-05"><day>05</day><month>06</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Russian Academy of Sciences</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Российская академия наук</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Russian Academy of Sciences</copyright-holder><copyright-holder xml:lang="ru">Российская академия наук</copyright-holder></permissions><self-uri xlink:href="https://journals.eco-vector.com/0023-4206/article/view/682923">https://journals.eco-vector.com/0023-4206/article/view/682923</self-uri><abstract xml:lang="en"><p>The material presented in the paper continues a series of studies on the development of the use of the vector graph method for analyzing the characteristics of complex field and plasma structures generated by the Sun in interplanetary space. With a simplified approach to describing such systems using statistical methods, the collective processes of plasma and field interactions may remain undetected, in particular, complex multicomponent structures in the spatiotemporal distribution functions may be missed. The main problem of statistical methods is the neglect of the order of the states of the system being studied and the loss of information contained in this order. Based on the data blocks obtained by the detectors of the WIND apparatus in the CWE research complex and provided by the Coordinated Data Analyzes Web database, implementations of graphs for magnetic field induction vectors and solar wind particle velocity vectors reconstructed on the basis of experimental samples are discussed. The regimes of magnetic storms, the formation of magnetic clouds, and events associated with coronal mass ejections, both ICME and CME, are considered. The presented new method of synchronized pairs of graphs allows us to move from a phenomenological description of the process to a classification of the types of observed and studied multi-processes based on the structural implementations of graphs.</p></abstract><trans-abstract xml:lang="ru"><p>Представленный в работе материал продолжает серию исследований по развитию применения метода векторных графов для анализа характеристик сложных полевых и плазменных структур, порождаемых Солнцем в межпланетном пространстве. При упрощенном подходе описания подобных систем статистическими методами коллективные процессы плазменных и полевых взаимодействий могут остаться не выявленными, в частности, пропущены сложные многокомпонентные структуры в пространственно-временных функциях распределения. Главная проблема статистических методов заключается в пренебрежении порядком следования состояния изучаемой системы и в потере информации, заключенной в этом порядке. На основе блоков данных, получаемых детекторами космического аппарата <italic>Wind</italic> в комплексе исследований CWE и предоставляемых базой Coordinated Data Analyses Web обсуждаются реконструированные на основе экспериментальных выборок реализации графов для векторов индукции магнитного поля и векторов скорости частиц солнечного ветра. Рассматриваются режимы магнитных бурь, формирование магнитных облаков, события, связанные с корональными выбросами массы, как ICME, так и CME. Представленный новый метод синхронизированных пар графов позволяет перейти от феноменологического описания процесса к классификации типов наблюдаемых и исследуемых мульти-процессов на основе структурных реализаций графов.</p></trans-abstract><funding-group><award-group><funding-source><institution-wrap><institution xml:lang="ru">Правительство РФ</institution></institution-wrap><institution-wrap><institution xml:lang="en">The Russian Government</institution></institution-wrap></funding-source><award-id>23-Ш03-03</award-id></award-group></funding-group></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><mixed-citation>Maiewski E.V., Malova H.V., Popov V.Y., Zelenyi L.M. Ulysses flyby in theheliosphere: Comparison of the solar wind model with observational data // Universe. 2022. V. 8(6). Art.ID. 324. https://doi.org/10.3390/universe8060324</mixed-citation></ref><ref id="B2"><label>2.</label><mixed-citation>Koomen M., Detwiler C., Brueckner G. et al. 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